Question 5
The LCM of three numbers P, Q and R is $2^5\times3^6\times5^2\times7^2$. Given that $P=2^4\times3^5\times7^2$ and $Q=2^5\times3^2\times5\times7$. Find the smallest value of R, in index notation.
**Editorial note for this self-study exercise:** P, Q and R are positive integers. For automatic checking, use prime factors in increasing order, ^ for each exponent and * between powers, with no spaces. Omit factors whose exponent is zero. Example of the format only: 2^3*7^2.
**Editorial note for this self-study exercise:** P, Q and R are positive integers. For automatic checking, use prime factors in increasing order, ^ for each exponent and * between powers, with no spaces. Omit factors whose exponent is zero. Example of the format only: 2^3*7^2.